KJs vs 97s: preflop equity

If KJs and 97s get all the chips in before the flop, KJs owns 63.27% of the pot in the long run and 97s owns 36.73%.

KJs

63.27%

Wins 62.94%, ties 0.68%

97s

36.73%

Wins 36.38%, ties 0.68%

Equity counts a tie as half a win. Exact over every board.

KJs against 97s: the numbers

Exact preflop results for KJs against 97s, in percent
HandWinsTiesLosesEquity
KJs62.9360.67636.38863.274
97s36.3880.67662.93636.726

This is a contest between two suited hands, KJs and 97s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.68% of boards are ties, so the equity of each hand is its win rate plus half of that.

Ranked by equity against a random hand, KJs is number 20 of the 169 starting hands and 97s is number 94.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs17,242,000185,0009,969,000
97s9,969,000185,00017,242,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

KJs against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.7231.5892.7480.580
97s0.5802.7481.5891.723

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

KJs prefers rainbow flops topped by a ten or better, where it holds 69.78%, and likes low rainbow flops (nine high or lower) least, where it holds 39.71%. 97s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

KJs against 97s by flop texture, in percent
FlopShare of flopsKJs winsTies97s winsKJs equity
Rainbow, ten or higher24.59569.6300.29730.07369.778
Rainbow, nine or lower6.31439.4250.57560.00039.712
Two-tone46.72762.4780.32437.19862.640
Monotone5.27358.6313.45637.91360.359
Paired17.09164.5701.36234.06865.251

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts KJs from 62.57% by +0.70 points and 97s from 49.12% by -12.39 points.

KJs and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops63.27462.567+0.7071.01130
KJs, rainbow, ten or higher69.77862.567+7.2111.11525
KJs, rainbow, nine or lower39.71262.567-22.8550.63471
KJs, two-tone62.64062.567+0.0731.00117
KJs, monotone60.35962.567-2.2080.96471
KJs, paired65.25162.567+2.6841.04290
97s, all flops36.72649.118-12.3920.74771
97s, rainbow, ten or higher30.22249.118-18.8960.61529
97s, rainbow, nine or lower60.28849.118+11.1701.22741
97s, two-tone37.36049.118-11.7580.76062
97s, monotone39.64149.118-9.4770.80706
97s, paired34.74949.118-14.3690.70746

Does a shared suit matter?

The suit split reads 65.65% for KJs with a shared suit and 62.48% without one. KJs does better with a shared suit, by 3.17 points.

KJs against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies97s winsKJs equity
Share a suit425.0065.2680.76233.97065.649
No shared suit1275.0062.1590.64737.19462.482

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KJs takes back $126.54 of it, which is $26.54 more than it put in, and 97s takes back $73.46, $26.54 less than it put in.

Run 1,000 deals and the tally comes out near 629 for KJs, 364 for 97s and 7 ties.

The same matchup from the other side

Read it from the other side: 97s against KJs is the same matchup with the numbers swapped, so 97s holds 36.73% and KJs holds 63.27%. That address sends you back to this page.

KsJs against 9h7h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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